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1) Find the Indefinite Integral.

(1-cos(6t)/2)dt

I have the first part: 1t-sin (3t^2)

I'm not really sure about the (3t^2) part, then after that i'm lost.

2)A vet has 100ft of fencing to construct 6 dog kennels by building a fence around a rectangular region, and then subdividing into 6 smaller rectangles by placing 5 fences parallel to on of the sides. What dimensions of the region will maximize the total area?

So i made a rectangle, split it up into 6 squares labeling each vertical section "y", and each horizontal section "x"

the perimeter equation would be P=13x+7y. Would the Area be 100ft since thats all he has to work with?

Thanks in advance.

(1-cos(6t)/2)dt

I have the first part: 1t-sin (3t^2)

I'm not really sure about the (3t^2) part, then after that i'm lost.

2)A vet has 100ft of fencing to construct 6 dog kennels by building a fence around a rectangular region, and then subdividing into 6 smaller rectangles by placing 5 fences parallel to on of the sides. What dimensions of the region will maximize the total area?

So i made a rectangle, split it up into 6 squares labeling each vertical section "y", and each horizontal section "x"

the perimeter equation would be P=13x+7y. Would the Area be 100ft since thats all he has to work with?

Thanks in advance.

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